Abstract
A kinetic description of the process of formation of a new phase with a well-defined ratio of the different components in a multi-component solid solution of arbitrary composition is developed. The process is described in terms of cluster formation and growth in the conceptual framework of classical nucleation theory. Hereby the relation between the rates of aggregation and dissolution of the aggregates of the evolving phase is determined, however, by a different method as applied in the classical theory avoiding the controversial introduction of so-called equilibrium distribution functions and the application of the principle of detailed balancing for clusters of supercritical sizes. Growth rates and steady state nucleation rates are derived for kinetic and diffusion-limited growth modes as well as for the more general case, that both transport processes as well as processes of aggregation of the primary units to the cluster determine the macroscopic growth rate.
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